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Finding the Third Proportional to 86,342.63 and 187,454.25

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Solution

The third proportional to 86,342.63 and 187,454.25 is: 406,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,342.63 : 187,454.25 = 187,454.25 : x
  2. Step 2: Convert to fraction form
    86,342.63/187,454.25 = 187,454.25/x
  3. Step 3: Cross multiply
    86,342.63x = 187,454.25 × 187,454.25
  4. Step 4: Simplify right side
    86,342.63x = 35,139,095,843.06
  5. Step 5: Solve for x
    x = 35,139,095,843.06/86,342.63
  6. Step 6: Final answer
    x = 406,972.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.